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Finding the Third Proportional to 77,583.75 and 120,973.50

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Solution

The third proportional to 77,583.75 and 120,973.50 is: 188,629.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,583.75 : 120,973.50 = 120,973.50 : x
  2. Step 2: Convert to fraction form
    77,583.75/120,973.50 = 120,973.50/x
  3. Step 3: Cross multiply
    77,583.75x = 120,973.50 × 120,973.50
  4. Step 4: Simplify right side
    77,583.75x = 14,634,587,702.25
  5. Step 5: Solve for x
    x = 14,634,587,702.25/77,583.75
  6. Step 6: Final answer
    x = 188,629.55

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.